15x^2=10x^2+7x^2-(10)(7)cosx

Simple and best practice solution for 15x^2=10x^2+7x^2-(10)(7)cosx equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 15x^2=10x^2+7x^2-(10)(7)cosx equation: 


Simplifying
15x2 = 10x2 + 7x2 + -1(10)(7) * cosx

Multiply -1 * 10
15x2 = 10x2 + 7x2 + -10 * 7cosx

Multiply -10 * 7
15x2 = 10x2 + 7x2 + -70cosx

Reorder the terms:
15x2 = -70cosx + 10x2 + 7x2

Combine like terms: 10x2 + 7x2 = 17x2
15x2 = -70cosx + 17x2

Solving
15x2 = -70cosx + 17x2

Solving for variable 'x'.

Reorder the terms:
70cosx + 15x2 + -17x2 = -70cosx + 17x2 + 70cosx + -17x2

Combine like terms: 15x2 + -17x2 = -2x2
70cosx + -2x2 = -70cosx + 17x2 + 70cosx + -17x2

Reorder the terms:
70cosx + -2x2 = -70cosx + 70cosx + 17x2 + -17x2

Combine like terms: -70cosx + 70cosx = 0
70cosx + -2x2 = 0 + 17x2 + -17x2
70cosx + -2x2 = 17x2 + -17x2

Combine like terms: 17x2 + -17x2 = 0
70cosx + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(35cos + -1x) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x = 0

Subproblem 2
Set the factor '(35cos + -1x)' equal to zero and attempt to solve:

Simplifying
35cos + -1x = 0

Solving
35cos + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-35cos' to each side of the equation.
35cos + -35cos + -1x = 0 + -35cos

Combine like terms: 35cos + -35cos = 0
0 + -1x = 0 + -35cos
-1x = 0 + -35cos
Remove the zero:
-1x = -35cos

Divide each side by '-1'.
x = 35cos

Simplifying
x = 35cos
Solution
x = {0, 35cos}

See similar equations:

| h=3+30t-16t^2 | | 3*7/12 | | G+3b=135 | | G+3b=2g+b | | 1.25c*-9=13 | | -8s-2-3=-17 | | 5(q+2)=2q | | 6-x+(-5x)=-20+(-x)+14 | | 5x+10=-18-9 | | sin45=9/x | | -13-9y=-1 | | F(x)=x^2+4x-14 | | 7+(-8)+(-16)=-16+(-x)+x | | 9(x+11)= | | r/5=3r-140 | | 6w+3+w+6w+3+w=44 | | 9x^4+5x^3-6-3x^2-7x+2= | | 2x+9=8x+16 | | 18+(-6)=17x-(-19)-7x | | 91/3x22/7 | | 23=7+2(a+8) | | 5x+14-5x-6= | | -5=1-2t | | 49c^3-64c=0 | | (5x^2-2x-29)+(3x^2+9x)= | | -2(-4c+12)= | | 3.5y=1x | | 11-9-(-x)=14x+(-6x)-7x | | x-7-12x-9x-9+3x=14x-10-x+7 | | 7x-4x-38=43 | | -2(6x-3)=-12+6 | | 2x-15=5x-15 |

Equations solver categories